GCD of 465, 868, 952, 328 Calculator

Given Input numbers are 465, 868, 952, 328

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Greatest Common Divisior

We found the divisors of 465, 868, 952, 328 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 868, 952, 328 is 1.

Therefore, GCD of numbers 465, 868, 952, 328 is 1

Given Input Data is 465, 868, 952, 328

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 328 is 2 x 2 x 2 x 41

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(465, 868) = 13020

GCD(465, 868) = ( 465 x 868 ) / 13020

GCD(465, 868) = 403620 / 13020

GCD(465, 868) = 31

Step2:

Here we consider the GCD from the above i.e. 31 as first number and the next as 952

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(31, 952) = 29512

GCD(31, 952) = ( 31 x 952 ) / 29512

GCD(31, 952) = 29512 / 29512

GCD(31, 952) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 328

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 328) = 328

GCD(1, 328) = ( 1 x 328 ) / 328

GCD(1, 328) = 328 / 328

GCD(1, 328) = 1

GCD of 465, 868, 952, 328 is 1

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1. What is the GCD of 465, 868, 952, 328?

GCD of 465, 868, 952, 328 is 1

2. Where do I get the detailed procedure to find GCD of 465, 868, 952, 328?

You can find a detailed procedure to find GCD of 465, 868, 952, 328 on our page.

3. How to find GCD of 465, 868, 952, 328 on a calculator?

You can find the GCD of 465, 868, 952, 328 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.